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Finding the Fourth Proportional to 12,538.43, 17,298.45 and 7,502.79

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Solution

The fourth proportional to 12,538.43, 17,298.45 and 7,502.79 is: 10,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.43 : 17,298.45 = 7,502.79 : x
  2. Step 2: Convert to fraction form
    12,538.43/17,298.45 = 7,502.79/x
  3. Step 3: Cross multiply
    12,538.43x = 17,298.45 × 7,502.79
  4. Step 4: Simplify right side
    12,538.43x = 129,786,637.68
  5. Step 5: Solve for x
    x = 129,786,637.68/12,538.43
  6. Step 6: Final answer
    x = 10,351.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.